Justin got a sack of jelly beans in 5 different colors. Half of them were red, 1/6 were green, 1/6 were yellow, 1/12 were orange, and 6 were black. How many of each color did he get?

Step-by-step explanation:

If we assume that "x" is the total number of beans:

So, the sum of all the beans:

x/2 + x/6 +x/6 +x/12 +6 =x

Multiplying each term by 12:

(12) x/2 + (12)x/6 + (12)x/6 + (12)x/12 + (12)6 = (12)x

6x +2x+2x+x+72=12x

Isolating "x":

72 =12x -6x-2x-2x-x

72=x

Replacing the value of x in each equation of each bean:

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

answer: idk

step-by-step explanation: